A quadrilateral \(ABCD\) has \(\angle A = 105^\circ\) and \(\angle B = 78^\circ\). If the bisectors of \(\angle C\) and \(\angle D\) meet at a point \(P\) inside the quadrilateral, find the measure of \(\angle CPD\).
\(^\circ\)
(Enter your answer to one decimal place if necessary)